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Finding the Third Proportional to 169,290 and 378,684

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Solution

The third proportional to 169,290 and 378,684 is: 847,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,290 : 378,684 = 378,684 : x
  2. Step 2: Convert to fraction form
    169,290/378,684 = 378,684/x
  3. Step 3: Cross multiply
    169,290x = 378,684 × 378,684
  4. Step 4: Simplify right side
    169,290x = 143,401,571,856
  5. Step 5: Solve for x
    x = 143,401,571,856/169,290
  6. Step 6: Final answer
    x = 847,076.45

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.